A Beurling-type theorem for the Fock space

DOI10.1090/S0002-9939-03-06803-5zbMath1045.46032MaRDI QIDQ4806428

Shengzhao Hou, Xiaoman Chen

Publication date: 14 May 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

polynomialFock spacequasi-invariant subspace

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Invariant subspaces of linear operators (47A15) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (4)

Cyclic vectors in the Fock space over the complex plane ⋮ Zero-based subspaces and quasi-invariant subspaces of the Bargmann-Fock space ⋮ Beurling’s phenomenon on analytic Hilbert spaces over the complex plane ⋮ Polynomials having leading terms over \(\mathbb C^2\) in the Fock space

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